This code can move it:
Lua Code:
ZO_PlayerToPlayerAreaPromptContainer:ClearAnchors()
ZO_PlayerToPlayerAreaPromptContainer:SetAnchor(BOTTOM, ZO_PlayerToPlayerArea, BOTTOM, 0, -350)
The number 0 in the second command means that control will be in the middle of the screen and -350 means that it will be 350px from the bottom of the screen. If you change numbers and/or anchor points, you can move this prompt to any place you want.